10111123310112 has 144 divisors (see below), whose sum is σ = 32215231706112. Its totient is φ = 2981166543360.

The previous prime is 10111123310069. The next prime is 10111123310173. The reversal of 10111123310112 is 21101332111101.

10111123310112 is a `hidden beast` number, since 10 + 111 + 123 + 310 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43013088 + ... + 43247519.

It is an arithmetic number, because the mean of its divisors is an integer number (223716886848).

Almost surely, 2^{10111123310112} is an apocalyptic number.

10111123310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111123310112 is an abundant number, since it is smaller than the sum of its proper divisors (22104108396000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111123310112 is a wasteful number, since it uses less digits than its factorization.

10111123310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86260671 (or 86260660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10111123310112 its reverse (21101332111101), we get a palindrome (31212455421213).

The spelling of 10111123310112 in words is "ten trillion, one hundred eleven billion, one hundred twenty-three million, three hundred ten thousand, one hundred twelve".